Question

Draw a circle with centre C and radius 3.4 cm. Draw any chord `overline"AB"`. Construct the perpendicular bisector of `overline"AB"` and examine if it passes through C.

Answer 1

1.  Mark any point C on the sheet.

2. By adjusting the compasses up to 3.4 cm and by putting the pointer of the compasses at point C, turn the compasses slowly to draw the circle. It is the required circle of 3.4 cm radius.
   

3. Now, mark any chord `overline"AB"` in the circle.
   
4. Taking A and B as centres, draw arcs on both sides of `overline"AB"`. Let these intersect each other at D and E.
   

5. Join DE, which is the perpendicular bisector of AB.

   
   
   When `overline"DE"` is extended, it will pass through point C.